Addendum to “Dense subsets of the boundary of a Coxeter system”
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- by Tetsuya Hosaka PDF
- Proc. Amer. Math. Soc. 133 (2005), 3745-3747 Request permission
Abstract:
In this paper, we investigate boundaries of parabolic subgroups of Coxeter groups. Let $(W,S)$ be a Coxeter system and let $T$ be a subset of $S$ such that the parabolic subgroup $W_T$ is infinite. Then we show that if a certain set is quasi-dense in $W$, then $W \partial \Sigma (W_T,T)$ is dense in the boundary $\partial \Sigma (W,S)$ of the Coxeter system $(W,S)$, where $\partial \Sigma (W_T,T)$ is the boundary of $(W_T,T)$.References
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Additional Information
- Tetsuya Hosaka
- Affiliation: Department of Mathematics, Utsunomiya University, Utsunomiya, 321-8505, Japan
- Email: hosaka@cc.utsunomiya-u.ac.jp
- Received by editor(s): July 5, 2004
- Received by editor(s) in revised form: September 12, 2004, and October 5, 2004
- Published electronically: July 7, 2005
- Additional Notes: The author was partly supported by the Grant-in-Aid for Scientific Research, The Ministry of Education, Culture, Sports, Science and Technology, Japan (No. 15740029).
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 3745-3747
- MSC (2000): Primary 57M07, 20F65, 20F55
- DOI: https://doi.org/10.1090/S0002-9939-05-08307-3
- MathSciNet review: 2163614